Skip to main content

Handling Constraints in Global Optimization Using an Artificial Immune System

  • Conference paper
Book cover Artificial Immune Systems (ICARIS 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3627))

Included in the following conference series:

Abstract

In this paper, we present a study of the use of an artificial immune system (CLONALG) for solving constrained global optimization problems. As part of this study, we evaluate the performance of the algorithm both with binary encoding and with real-numbers encoding. Additionally, we also evaluate the impact of the mutation operator in the performance of the approach by comparing Cauchy and Gaussian mutations. Finally, we propose a new mutation operator which significantly improves the performance of CLONALG in constrained optimization.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Balicki, J.: Multi-criterion evolutionary algorithm with model of the immune system to handle constraints for task assignments. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 394–399. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  2. Coello, C.A.C., Cruz-Cortés, N.: Hybridizing a genetic algorithm with an artificial immune system for global optimization. Engineering Optimization 36(5), 607–634 (2004)

    Article  MathSciNet  Google Scholar 

  3. Corne, D., Dorigo, M., Glover, F. (eds.): New Ideas in Optimization. McGraw-Hill, London (1999)

    Google Scholar 

  4. de Castro, L.N., Timmis, J.: An artificial immune network for multimodal function optimization. In: Proceedings of the special sessions on artificial immune systems in the 2002 Congress on Evolutionary Computation, 2002 IEEE World Congress on Computational Intelligence, Honolulu, Hawaii, May 2002, vol. I, pp. 669–674 (2002)

    Google Scholar 

  5. de Castro, L.N., Timmis, J.: An Introduction to Artificial Immune Systems: A New Computational Intelligence Paradigm. Springer, Heidelberg (2002)

    Google Scholar 

  6. de Castro, L.N., Von Zuben, F.J.: Learning and Optimization Using the Clonal Selection Principle. IEEE Transactions on Evolutionary Computation 6(3), 239–251 (2002)

    Article  Google Scholar 

  7. Farmani, R., Wright, J.A.: Self-Adaptive Fitness Formulation for Constrained Optimization. IEEE Transactions on Evolutionary Computation 7(5), 445–455 (2003)

    Article  Google Scholar 

  8. Hajela, P., Yoo, J.S.: Immune network modelling in design optimization. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 167–183. Mc GrawHill, New York (1999)

    Google Scholar 

  9. Hamida, S.B., Schoenauer, M.: ASCHEA: New results using adaptive segregationsl constraint handling. In: Proceedings of the Congress on Evolutionary Computation 2002 (CEC 2002), Piscataway, New Jersey, vol. 1, pp. 884–889. IEEE Service Center (2002)

    Google Scholar 

  10. Kelsey, J., Timmis, J.: Immune Inspired Somatic Contiguous Hypermutation for Function Optimisation. In: Cantú-Paz, E., et al. (eds.) GECCO 2003. LNCS, vol. 2723, pp. 207–218. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  11. Koziel, S., Michalewicz, Z.: Evolutionary Algorithms, Homomorphous Mappings, and Constrained Parameter Optimization. Evolutionary Computation 7(1), 19–44 (1999)

    Article  Google Scholar 

  12. Luh, G.C., Chueh, C.H.: Multi-objective optimal designof truss structure with immune algorithm. Computers and Structures 82, 829–844 (2004)

    Article  MathSciNet  Google Scholar 

  13. Luh, G.C., Chueh, C.H., Liu, W.W.: MOIA: Multi-Objective Immune Algorithm. Engeneering Optimization 35(2), 143–164 (2003)

    Article  MathSciNet  Google Scholar 

  14. Mathias, K.E., Whitley, L.D.: Transforming the search space with Gray coding. In: Schaffer, J.D. (ed.) Proceedings of the IEEE International Conference on Evolutionary Computation, pp. 513–518. IEEE Service Center, Piscataway (1994)

    Google Scholar 

  15. Michalewicz, Z., Schoenauer, M.: Evolutionary Algorithms for Constrained Parameter Optimization Problems. Evolutionary Computation 4(1), 1–32 (1996)

    Article  Google Scholar 

  16. Runarsson, T.P., Yao, X.: Stochastic ranking for constrained evolutionary optimization. IEEE Transactions on Evolutionay Computation 4(3), 284–294 (2000)

    Article  Google Scholar 

  17. Smith, A.E., Coit, D.W.: Constraint Handling Techniques—Penalty Functions. In: Bäck, T., Fogel, D.B., Michalewicz, Z. (eds.) Handbook of Evolutionary Computation, chapter C 5.2. Oxford University Press, Oxford (1997)

    Google Scholar 

  18. Yao, X., Liu, Y.: Fast evolution strategies. Control and Cybernetics 26(3), 467–496 (1997)

    MATH  MathSciNet  Google Scholar 

  19. Yoo, J., Hajela, P.: Enhanced GA Based Search Through Immune System Modeling. In: 3rd. World Congress on Structural and Multidisciplinary Optimization. IEEE Computer Society Press, Los Alamitos (1999)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cruz-Cortés, N., Trejo-Pérez, D., Coello, C.A.C. (2005). Handling Constraints in Global Optimization Using an Artificial Immune System. In: Jacob, C., Pilat, M.L., Bentley, P.J., Timmis, J.I. (eds) Artificial Immune Systems. ICARIS 2005. Lecture Notes in Computer Science, vol 3627. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11536444_18

Download citation

  • DOI: https://doi.org/10.1007/11536444_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28175-7

  • Online ISBN: 978-3-540-31875-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics